Interpreting reflexive theories in finitely many axioms

Shavrukov, V.

Fundamenta Mathematicae, Tome 154 (1997), p. 99-116 / Harvested from The Polish Digital Mathematics Library

Résumé

For finitely axiomatized sequential theories F and reflexive theories R, we give a characterization of the relation ’F interprets R’ in terms of provability of restricted consistency statements on cuts. This characterization is used in a proof that the set of $∏_1$ (as well as $∑_1$) sentences π such that GB interprets ZF+π is $Σ^0_3$-complete.

Détail

Publié le : 1997-01-01

Zbl 0874.03066

EUDML-ID : urn:eudml:doc:212206

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